Answer:
Step-by-step explanation:
The given system of equations is expressed as
6x - 5y = -34 - - - - - - - - - - - -1
2x + 6y = 4 - - - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 2 and equation 2 by 6. It becomes
12x - 10y = - 68 - - - - - - - - - - - -3
12x + 36y = 24 - - - - - - - - - - - -4
Subtracting equation 4 from equation 3, it becomes
- 46y = - 92
Dividing the left hand side and the right hand side of the equation by
- 46, it becomes
- 46y/46 = - 92/- 46
y = 2
Substituting y = 2 into equation 2, it becomes
2x + 6 × 2 = 4
2x + 12 = 4
Subtracting 12 from left hand side and the right hand side of the equation, it becomes
2x + 12 - 12 = 4 - 12
2x = - 8
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = - 8/2
x = - 4
